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Description

Editorial

Triangle Shape Classification by Side Lengths

EASY10 pts

A geometry validation service stores side-length triplets in a table and needs a per-row triangle category.

Table: Triangles

A: length of side 1
B: length of side 2
C: length of side 3

(A, B, C) is unique per row.

For every row, assign exactly one label:

Equilateral: all three sides are equal and the triplet forms a valid triangle.
Isosceles: exactly two sides are equal and the triplet forms a valid triangle.
Scalene: all three sides are different and the triplet forms a valid triangle.
Not A Triangle: the three lengths fail triangle inequality.

Triangle validity rule (all must hold):

A + B > C
A + C > B
B + C > A

Return one column:

triangle_type

Return rows in any order.

Supported submission environments:

SQL (SQLite 3.27.2)
Pandas (Python)

Example

Input

Triangles:
| A  | B  | C  |
|----|----|----|
| 20 | 20 | 23 |
| 20 | 20 | 20 |
| 20 | 21 | 22 |
| 13 | 14 | 30 |

Output

[
  {"triangle_type":"Equilateral"},
  {"triangle_type":"Isosceles"},
  {"triangle_type":"Not A Triangle"},
  {"triangle_type":"Scalene"}
]

Explanation

(20,20,20) is Equilateral, (20,20,23) is Isosceles, (20,21,22) is Scalene, and (13,14,30) fails triangle inequality so it is Not A Triangle.

Example

Input

Triangles:
| A | B | C |
|---|---|---|
| 5 | 5 | 9 |
| 5 | 5 | 10|
| 7 | 9 | 12|

Output

[
  {"triangle_type":"Isosceles"},
  {"triangle_type":"Not A Triangle"},
  {"triangle_type":"Scalene"}
]

Explanation

5+5>9 so the first row is a valid Isosceles triangle. 5+5=10 makes the second row degenerate and invalid. 7,9,12 are all distinct and valid, so Scalene.

Example

Input

Triangles:
| A          | B          | C          |
|------------|------------|------------|
| 1000000000 | 1000000000 | 1000000000 |
| 1          | 1          | 2          |

Output

[
  {"triangle_type":"Equilateral"},
  {"triangle_type":"Not A Triangle"}
]

Explanation

Very large equal sides are still valid, while (1,1,2) violates the strict inequality requirement.

Accepted0/0·0% Acceptance

Constraints

1 <= number of rows in Triangles <= 100000
1 <= A, B, C <= 1000000000
(A, B, C) is unique within Triangles
Return exactly one output column named triangle_type
Allowed labels: Equilateral, Isosceles, Scalene, Not A Triangle
Classify each input row independently
Output order is not semantically important
For SQL submissions, use SQLite 3.27.2 semantics
For Pandas submissions, return a DataFrame with column triangle_type

Code

Visualizer

Solutions

14px

Test Cases3

Results

Submissions

Triangles =

[{"A":1000000000,"B":1000000000,"C":1000000000},{"A":999999998,"B":999999999,"C":1000000000},{"A":1,"B":1,"C":2},{"A":500000000,"B":500000000,"C":999999999}]

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Description

Editorial

Triangle Shape Classification by Side Lengths

EASY10 pts

A geometry validation service stores side-length triplets in a table and needs a per-row triangle category.

Table: Triangles

A: length of side 1
B: length of side 2
C: length of side 3

(A, B, C) is unique per row.

For every row, assign exactly one label:

Equilateral: all three sides are equal and the triplet forms a valid triangle.
Isosceles: exactly two sides are equal and the triplet forms a valid triangle.
Scalene: all three sides are different and the triplet forms a valid triangle.
Not A Triangle: the three lengths fail triangle inequality.

Triangle validity rule (all must hold):

A + B > C
A + C > B
B + C > A

Return one column:

triangle_type

Return rows in any order.

Supported submission environments:

SQL (SQLite 3.27.2)
Pandas (Python)

Example

Input

Triangles:
| A  | B  | C  |
|----|----|----|
| 20 | 20 | 23 |
| 20 | 20 | 20 |
| 20 | 21 | 22 |
| 13 | 14 | 30 |

Output

[
  {"triangle_type":"Equilateral"},
  {"triangle_type":"Isosceles"},
  {"triangle_type":"Not A Triangle"},
  {"triangle_type":"Scalene"}
]

Explanation

(20,20,20) is Equilateral, (20,20,23) is Isosceles, (20,21,22) is Scalene, and (13,14,30) fails triangle inequality so it is Not A Triangle.

Example

Input

Triangles:
| A | B | C |
|---|---|---|
| 5 | 5 | 9 |
| 5 | 5 | 10|
| 7 | 9 | 12|

Output

[
  {"triangle_type":"Isosceles"},
  {"triangle_type":"Not A Triangle"},
  {"triangle_type":"Scalene"}
]

Explanation

5+5>9 so the first row is a valid Isosceles triangle. 5+5=10 makes the second row degenerate and invalid. 7,9,12 are all distinct and valid, so Scalene.

Example

Input

Triangles:
| A          | B          | C          |
|------------|------------|------------|
| 1000000000 | 1000000000 | 1000000000 |
| 1          | 1          | 2          |

Output

[
  {"triangle_type":"Equilateral"},
  {"triangle_type":"Not A Triangle"}
]

Explanation

Very large equal sides are still valid, while (1,1,2) violates the strict inequality requirement.

Accepted0/0·0% Acceptance

Constraints

1 <= number of rows in Triangles <= 100000
1 <= A, B, C <= 1000000000
(A, B, C) is unique within Triangles
Return exactly one output column named triangle_type
Allowed labels: Equilateral, Isosceles, Scalene, Not A Triangle
Classify each input row independently
Output order is not semantically important
For SQL submissions, use SQLite 3.27.2 semantics
For Pandas submissions, return a DataFrame with column triangle_type

Code

Visualizer

Solutions

14px

Test Cases3

Results

Submissions

Triangles =

[{"A":1000000000,"B":1000000000,"C":1000000000},{"A":999999998,"B":999999999,"C":1000000000},{"A":1,"B":1,"C":2},{"A":500000000,"B":500000000,"C":999999999}]

Triangle Shape Classification by Side Lengths

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Triangle Shape Classification by Side Lengths

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